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Finding the Fourth Proportional to 581.16, 869.94 and 364.08

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Solution

The fourth proportional to 581.16, 869.94 and 364.08 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 869.94 = 364.08 : x
  2. Step 2: Convert to fraction form
    581.16/869.94 = 364.08/x
  3. Step 3: Cross multiply
    581.16x = 869.94 × 364.08
  4. Step 4: Simplify right side
    581.16x = 316,727.76
  5. Step 5: Solve for x
    x = 316,727.76/581.16
  6. Step 6: Final answer
    x = 544.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.